MATH 150 Final: MATH1501 MATH1501 FinalB
31 Jan 2019
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Page 2 of 13: di erentiate the following functions. You do not need to simplify your answers. [5: find the function g satisfying g (t) = e t + sin(cid:18) t. Page 4 of 13: evaluate the following limits. Show all details of your calculation and present your answer in exact simpli ed form. Use the symbols , , and dne as appropriate. [3] (b) lim x 4+ x2 2x 8. 1 (1 + h)10 h(1 + h)10 . [1: (a) state the conditions that must be met in order for a function f to be continuous at x = a. [5] (b) determine all values of k such that the following function is continuous at x = 2 or show that no such value can exist: f (x) = . 5x 1 x2 1 if x < 2 if x = 2 if x > 2.
